How do you graph a system of equation

So, first your going to have to put it in y=mx+b
2x-2y=14
-2x -2x
-2y=-2x+14
now divide everything by -2
y=1x-7
and then do the same to the other equation.
x-y=2
-x. -x
-y=-x+2
now divide everything by -1
y=x-2

Then you just graph it. You plot the y-intercept on the y axis. and then I this case go up one over one and your get the points for each player equation.
y=1x-7. y- intercept:-7. slope:1 over 1
y=x-2. y-intercept:-2. slope:1 over 1